13290816 has 224 divisors, whose sum is σ = 46817280. Its totient is φ = 3225600.

The previous prime is 13290799. The next prime is 13290829. The reversal of 13290816 is 61809231.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428721 + ... + 428751.

Almost surely, 2^13290816 is an apocalyptic number.

13290816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13290816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23408640).

13290816 is an abundant number, since it is smaller than the sum of its proper divisors (33526464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13290816 is a wasteful number, since it uses less digits than its factorization.

13290816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 13290816 is about 3645.6571424093. The cubic root of 13290816 is about 236.8739025483.

The spelling of 13290816 in words is "thirteen million, two hundred ninety thousand, eight hundred sixteen".